Loosely bound three-body nuclear systems in the J-matrix approach

Yu A. Lurie; A. M. Shirokov

doi:10.1016/j.aop.2004.02.002

Loosely bound three-body nuclear systems in the J-matrix approach

Yu A. Lurie, A. M. Shirokov

Department of Electrical and Electronics Engineering

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely bound ¹¹Li and ⁶He nuclei within three-body cluster models ⁹Li+n+n and α+n+n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles associated with the ¹¹Li and ⁶He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the n-α interaction on the properties of the ⁶He nucleus is examined.

Original language	English
Pages (from-to)	284-318
Number of pages	35
Journal	Annals of Physics
Volume	312
Issue number	2
DOIs	https://doi.org/10.1016/j.aop.2004.02.002
State	Published - Aug 2004

Keywords

J-matrix
Neutron halo
Three-body cluster model

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10.1016/j.aop.2004.02.002

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title = "Loosely bound three-body nuclear systems in the J-matrix approach",

abstract = "We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely bound 11Li and 6He nuclei within three-body cluster models 9Li+n+n and α+n+n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles associated with the 11Li and 6He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the n-α interaction on the properties of the 6He nucleus is examined.",

keywords = "J-matrix, Neutron halo, Three-body cluster model",

author = "Lurie, {Yu A.} and Shirokov, {A. M.}",

note = "Funding Information: This work was supported in part by the State Program “Russian Universities”, the Russian Foundation of Basic Research Grant No. 02-02-17316, US NSF Grant No. PHY-007-1027, the Israel Science Foundation, and the Israel Ministry of Science.",

year = "2004",

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AU - Lurie, Yu A.

AU - Shirokov, A. M.

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N2 - We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely bound 11Li and 6He nuclei within three-body cluster models 9Li+n+n and α+n+n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles associated with the 11Li and 6He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the n-α interaction on the properties of the 6He nucleus is examined.

AB - We discuss the extension of the oscillator-basis J-matrix formalism on the case of true A-body scattering. The formalism is applied to loosely bound 11Li and 6He nuclei within three-body cluster models 9Li+n+n and α+n+n. The J-matrix formalism is used not only for the calculation of the three-body continuum spectrum wave functions but also for the calculation of the S-matrix poles associated with the 11Li and 6He ground states to improve the description of the binding energies and ground state properties. The effect of the phase equivalent transformation of the n-α interaction on the properties of the 6He nucleus is examined.

KW - J-matrix

KW - Neutron halo

KW - Three-body cluster model

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VL - 312

SP - 284

EP - 318

JO - Annals of Physics

JF - Annals of Physics

IS - 2

ER -

Loosely bound three-body nuclear systems in the J-matrix approach

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